Home / 1,534.82-2,291.07-1,340.42

Finding the Fourth Proportional to 1,534.82, 2,291.07 and 1,340.42

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Solution

The fourth proportional to 1,534.82, 2,291.07 and 1,340.42 is: 2,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.82 : 2,291.07 = 1,340.42 : x
  2. Step 2: Convert to fraction form
    1,534.82/2,291.07 = 1,340.42/x
  3. Step 3: Cross multiply
    1,534.82x = 2,291.07 × 1,340.42
  4. Step 4: Simplify right side
    1,534.82x = 3,070,989.35
  5. Step 5: Solve for x
    x = 3,070,989.35/1,534.82
  6. Step 6: Final answer
    x = 2,000.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.